Algebra: A Combined Approach (4th Edition)

by
Martin-Gay, Elayn

Answer

$|x+2|$

Work Step by Step

$\sqrt{x^2+4x+4}=\sqrt{(x+2)^2}=|x+2|$
First factor the perfect square trinomial.
For expressions under the radical sign with an even index, the outcome is inside absolute value bars to ensure a positive result.